Abstract
Unsteady plane and spherically-symmetric self-gravitating gas flows are analytically and numerically studied. It is assumed that the gas is enclosed in a plane layer of finite thickness or in a bounded spherical volume. Two characteristic compression patterns are established, namely, a quasiperiodic regime in which gravitational equilibrium is attained and a fast compression regime with a many orders increase in the density. The quasiperiodic regime is realized when the layer thickness is fairly small as compared with the Jeans length. The fast compression occurs when the layer thickness is greater than the Jeans length.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Schwarzschild, Structure and Evolution of the Stars, Princeton Univ. Press, Princeton (1963).
V.S. Safronov, Evolution of the Protoplanetary Cloud and Formation of the Earth and Planets [in Russian], Nauka, Moscow (1969).
H. Alfvén and G. Arrhenius, Evolution of the Solar System, NASA SP-345, Washington, D.C. (1976).
V.M. Lipunov, Astrophysics of Neutron Stars [in Russian], Nauka, Moscow (1987).
J.H. Jeans, Astronomy and Cosmogony, Dover Publ., New York (1961).
B.G. Elmegreen and C.J. Lada, “Sequential Formation of Subgroups in OB Associations,” Astrophys. J. 214, 725 (1977).
M.S. Kirsanova, A.M. Sobolev, M. Thomasson, D.S. Wiebe, L.E.B. Johansson, and A.F. Seleznev, “Star Formation around the HII Region Sh2-235,” Mon. Not. Roy. Astron. Soc. 388, 729 (2008).
J. Wang, E.D. Feigelson, L.K. Townsley, P.S. Broos, C.G. Roman-Zuciga, E. Lada, and G. Garmiren, “A Chandra Study of the Rosette Star-Forming Complex. III. The NGC 2237 Cluster and the Region’s Star Formation History,” Astrophys. J. 716, 474 (2010).
C. Watson, U. Hanspal, and A. Mengistu, “Triggered Star Formation and Dust around Mid-Infrared-Identified Bubbles,” Astrophys. J. 716, 1478 (2010).
M. Pomares, A. Zavagno, L. Deharveng, M. Cunningham, P. Jones, S. Kurtz, D. Russeil, J. Caplan, and F. Comeryn, “Triggered Star Formation on the Borders of the Galactic HII Region RCW82,” Asron. Astrophys. 494, 987 (2009).
V.B. Baranov and K.V. Krasnobaev,Hydrodynamic Theory of Space Plasma [in Russian], Nauka, Moscow (1977).
S.A. Kaplan and S.V. Pikelner, Physics of the Interstellar Medium [in Russian], Nauka, Moscow (1979).
L. Spitzer Jr., Physical Processes in the Interstellar Medium,Wiley (1978).
B.G. Elmegreen, “On the Gravitational Collapse of Decelerating Shocked Layers in OB Associations,” Astrophys. J. 340, 786 (1989).
A. Mizuta, J.O. Kane, M.W. Pound, B.A. Remington, D.D. Ryutov, and H. Takabe, “Formation of Pillars at the Boundaries between HII Regions and Molecular Clouds,” Astrophys. J. 647, 1151 (2006).
D. Whalen and M.L. Norman, “Ionization Front Instabilities in Primordial HII Regions,” Astrophys. J. 673, 664 (2008).
G.Yu. Kotova and K.V. Krasnobaev, “Acceleration of a Neutral Spherical Shell Formed by an Ionization-Shock Front in an Inhomogeneous Interstellar Medium,” Pisma Astron. Zh. 35, 189 (2009).
G.Yu. Kotova and K.V. Krasnobaev, “Numerical Modeling of Unstable Two-Dimensional Motions of a Circumstellar Shell,” Pisma Astron Zh. 36, 506 (2010).
K.V. Krasnobaev and R.R. Tagirova, “Richtmeyer-Meshkov Instability Manifestation in an Inhomogeneous Interstellar Medium with Luminescence,” Pisma Astron. Zh. 35, 364 (2009).
S. Orlando, F. Bocchino, F. Reale, G. Peres, and P. Pagano, “The Importance of Magnetic-Field-Oriented Thermal Conduction in the Interaction of SNR Shocks with Interstellar Clouds,” Astrophys. J. 678, 274 (2008).
A.P. Boss, S.A. Keiser, S.I. Ipatov, E.A. Myhill, and H.A.T. Vanhala, “Triggering Collapse of the Presolar Dense Cloud Core and Injecting Short-Lived Radioisotopes with a Shock Wave. I. Varied Shock Speeds,” Astrophys. J. 708, 1268 (2010).
L.I. Sedov, Similarity and Dimensional Methods, CRC Press, Boca Raton (1993).
G.M. Fikhtengoltz, Textbook on Differential and Integral Calculus. Vol. 2 [in Russian], Fizmatgiz, Moscow (1959).
Additional information
Original Russian Text © S.I. Arafailov, K.V. Krasnobaev, R.R. Tagirova, 2012, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2012, Vol. 47, No. 3, pp. 7–17.
Rights and permissions
About this article
Cite this article
Arafailov, S.I., Krasnobaev, K.V. & Tagirova, R.R. One-dimensional compression of bounded volumes of a self-gravitating gas. Fluid Dyn 47, 292–300 (2012). https://doi.org/10.1134/S0015462812030027
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0015462812030027